The Additivity of Polygamma Functions

被引：6

作者：

Guo, Bai-Ni ^{[1
]}

Qi, Feng ^{[2
,3
]}

Luo, Qiu-Ming ^{[4
]}

机构：

[1] Henan Polytech Univ, Sch Math & Informat, Jiaozuo City 454010, Henan Province, Peoples R China

[2] Inner Mongolia Univ Nationalities, Coll Math, Tongliao City 028043, Inner Mongolia, Peoples R China

[3] Tianjin Polytech Univ, Coll Sci, Dept Math, Tianjin 300160, Peoples R China

[4] Chongqing Normal Univ, Dept Math, Chongqing 401331, Peoples R China

来源：

FILOMAT | 2015年 / 29卷 / 05期

关键词：

subadditive function; superadditive function; polygamma function; SUPERADDITIVE PROPERTIES; COMPLETE MONOTONICITY; GAMMA; PROPERTY; DIGAMMA;

D O I：

10.2298/FIL1505063G

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In the paper, the authors prove that the functions vertical bar psi((i))(e(x))vertical bar for i is an element of N are subadditive on (ln theta(i) , infinity) and superadditive on (-infinity, ln theta(i)), where theta(i) is an element of (0; 1) is the unique root of equation 2 vertical bar psi((i))(theta)vertical bar = vertical bar psi((i))(theta)(2)vertical bar.

引用

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页码：1063 / 1066

页数：4

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